GCF of 6969/553, 1539/9665
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6969/553, 1539/9665 i.e 3/5344745 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6969/553, 1539/9665.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 6969/553,1539/9665?
Given fractions are 6969/553,1539/9665
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 6969/553,1539/9665, numerators are 6969,1539
Denominators are 553,9665
The GCF of 6969,1539 is 3 .
LCM of 553,9665 is 5344745.
The greatest common factor of 6969/553,1539/9665 = [GCF of 6969,1539]/[LCM of 553,9665]= 3/5344745
Therefore, the GCF of 6969/553,1539/9665 is 3/5344745.
To find the highest common factor of 6969,1539, we have to find the factors of both numbers and list the highest common factor.
The factors of 6969 are 1, 3, 23, 69, 101, 303, 2323, 6969
The factors of 1539 are 1, 3, 9, 19, 27, 57, 81, 171, 513, 1539
The HCF of 6969,1539 is 3.
Lets's calculate GCF of 6969,1539
| 3 | 6969, 1539 |
| 2323, 513 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6969,1539 By Matching Biggest Common Factor Method
Now, list down the factors of 6969
:1,3,23,69,101,303,2323,6969
Now, list down the factors of 1539
:1,3,9,19,27,57,81,171,513,1539
Greatest Common Factor
We found the factors 6969,1539 . The biggest common factor number is the GCF number.
So the greatest common factor 6969,1539 is 3.
Lets's calculate LCM of 553,9665
Given numbers has no common factors except 1. So, there LCM is their product i.e 5344745
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5344745
Therefore, the GCF of Fractions 6969/553,1539/9665 is 3/5344745
Least Common Multiple of 553,9665 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 553,9665 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(553,9665) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(553,9665) x common factors =1 x 1 = 1
LCM(553,9665) = ( 553 × 9665 ) / 1
LCM(553,9665) = 5344745 / 1
LCM(553,9665) = 5344745
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FAQs on GCF of Fractions of 6969/553, 1539/9665
1. What is the HCF of 6969,1539?
The HCF of 6969,1539 is 3
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 6969/553, 1539/9665?
Answer: GCF of Numerators as per given numbers 6969/553, 1539/9665 is
GCF of Numerators i.e. for 6969,1539 is 3
LCM of denominators i.e. for 553,9665 is 5344745.
Thus, GCF of Fractions is 3/5344745.Finally, GCF of Fractions for 6969/553, 1539/9665 is 3/5344745.